Question

Crackers come in packages of 24. Cheese slices come in packages of 18. Andy wants one cheese slice for each cracker. Patrick made the statement shown. "If Andy doesn't want any crackers or cheese slices left over, he needs to buy at least 432 of each." Is Patrick's statement correct? Use numbers and words to explain why or why not. If Patrick's statement is incorrect, what should he do to correct it?

Answer 1

Patrick's statement is incorrect.

Explanation:

Crackers come in package of = 24

Cheese slices come in package of = 18

As given, Andy wants one cheese slice for each cracker so we will find the least common multiple of 24 and 18.

The L.C.M is 72.

So, Andy needs 72 crackers and 72 cheese slices.

Number of cracker packages needed=$\frac{72}{24}=3$

Number of cheese slice packages needed=$\frac{72}{18}=4$

Hence, Patrick's statement is incorrect. Andy needs 3 packages of crackers and 4 packages of cheese slices to make them even.